213105400 has 24 divisors (see below), whose sum is σ = 495470520. Its totient is φ = 85242080.

The previous prime is 213105371. The next prime is 213105401. The reversal of 213105400 is 4501312.

It is a super-3 number, since 3×213105400³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213105401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 532564 + ... + 532963.

It is an arithmetic number, because the mean of its divisors is an integer number (20644605).

Almost surely, 2^213105400 is an apocalyptic number.

213105400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213105400 is an abundant number, since it is smaller than the sum of its proper divisors (282365120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213105400 is a wasteful number, since it uses less digits than its factorization.

213105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065543 (or 1065534 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 213105400 is about 14598.1300172317. The cubic root of 213105400 is about 597.3077525561.

Adding to 213105400 its reverse (4501312), we get a palindrome (217606712).

The spelling of 213105400 in words is "two hundred thirteen million, one hundred five thousand, four hundred".